Assessment and prioritization of economic systems by using decision-making approach based on bipolar complex fuzzy generalized Maclaurin symmetric mean operators
{"title":"Assessment and prioritization of economic systems by using decision-making approach based on bipolar complex fuzzy generalized Maclaurin symmetric mean operators","authors":"Ubaid ur Rehman, Tahir Mahmood, Xiaopeng Yang","doi":"10.1007/s12190-024-02104-5","DOIUrl":null,"url":null,"abstract":"<p>The problem of assessing and prioritizing various economic systems and their types from the perspective of decision-making is a complex problem, which involves the evaluation of multiple conflicting criteria in the presence of uncertainty and incomplete information. The imprecisions of fuzzy set theory and the existing decision-making (DM) approaches could not fully take into account the complexities and subtleties that are embedded in this problem. Hence, the need to create a better DM model that can handle both the bipolar and complex nature of the economy and come up with a more comprehensive and robust solution. Thus, in this manuscript, we devise a DM technique in the setting of the bipolar complex fuzzy set (BCFS). For this, we firstly investigate various generalized Maclaurin symmetric mean operators in the setting of BCFS that are bipolar complex fuzzy generalized Maclaurin symmetric mean, bipolar complex fuzzy weighted generalized Maclaurin symmetric mean, bipolar complex fuzzy generalized geometric Maclaurin symmetric mean, and bipolar complex fuzzy weighted generalized geometric Maclaurin symmetric mean operators. After that, we use a newly developed decision-making technique in the context of economic systems and find that the traditional economic system is the finest economic system. In the last, we compare the developed work with a certain number of prevailing theories to reveal the supremacy and advantages. The proposed work.</p>","PeriodicalId":15034,"journal":{"name":"Journal of Applied Mathematics and Computing","volume":"15 1","pages":""},"PeriodicalIF":2.4000,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mathematics and Computing","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s12190-024-02104-5","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The problem of assessing and prioritizing various economic systems and their types from the perspective of decision-making is a complex problem, which involves the evaluation of multiple conflicting criteria in the presence of uncertainty and incomplete information. The imprecisions of fuzzy set theory and the existing decision-making (DM) approaches could not fully take into account the complexities and subtleties that are embedded in this problem. Hence, the need to create a better DM model that can handle both the bipolar and complex nature of the economy and come up with a more comprehensive and robust solution. Thus, in this manuscript, we devise a DM technique in the setting of the bipolar complex fuzzy set (BCFS). For this, we firstly investigate various generalized Maclaurin symmetric mean operators in the setting of BCFS that are bipolar complex fuzzy generalized Maclaurin symmetric mean, bipolar complex fuzzy weighted generalized Maclaurin symmetric mean, bipolar complex fuzzy generalized geometric Maclaurin symmetric mean, and bipolar complex fuzzy weighted generalized geometric Maclaurin symmetric mean operators. After that, we use a newly developed decision-making technique in the context of economic systems and find that the traditional economic system is the finest economic system. In the last, we compare the developed work with a certain number of prevailing theories to reveal the supremacy and advantages. The proposed work.
期刊介绍:
JAMC is a broad based journal covering all branches of computational or applied mathematics with special encouragement to researchers in theoretical computer science and mathematical computing. Major areas, such as numerical analysis, discrete optimization, linear and nonlinear programming, theory of computation, control theory, theory of algorithms, computational logic, applied combinatorics, coding theory, cryptograhics, fuzzy theory with applications, differential equations with applications are all included. A large variety of scientific problems also necessarily involve Algebra, Analysis, Geometry, Probability and Statistics and so on. The journal welcomes research papers in all branches of mathematics which have some bearing on the application to scientific problems, including papers in the areas of Actuarial Science, Mathematical Biology, Mathematical Economics and Finance.